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Finding the Fourth Proportional to 8,673.66, 11,961.78 and 5,688.42

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Solution

The fourth proportional to 8,673.66, 11,961.78 and 5,688.42 is: 7,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673.66 : 11,961.78 = 5,688.42 : x
  2. Step 2: Convert to fraction form
    8,673.66/11,961.78 = 5,688.42/x
  3. Step 3: Cross multiply
    8,673.66x = 11,961.78 × 5,688.42
  4. Step 4: Simplify right side
    8,673.66x = 68,043,628.59
  5. Step 5: Solve for x
    x = 68,043,628.59/8,673.66
  6. Step 6: Final answer
    x = 7,844.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.